What is the Greatest Common Factor of 82350 and 82364?

Greatest common factor (GCF) of 82350 and 82364 is 2.

GCF(82350,82364) = 2

We will now calculate the prime factors of 82350 and 82364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82350 and 82364.

How to find the GCF of 82350 and 82364?

We will first find the prime factorization of 82350 and 82364. After we will calculate the factors of 82350 and 82364 and find the biggest common factor number .

Step-1: Prime Factorization of 82350

Prime factors of 82350 are 2, 3, 5, 61. Prime factorization of 82350 in exponential form is:

82350 = 2¹ × 3³ × 5² × 61¹

Step-2: Prime Factorization of 82364

Prime factors of 82364 are 2, 59, 349. Prime factorization of 82364 in exponential form is:

82364 = 2² × 59¹ × 349¹

Step-3: Factors of 82350

List of positive integer factors of 82350 that divides 82350 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 61, 75, 90, 122, 135, 150, 183, 225, 270, 305, 366, 450, 549, 610, 675, 915, 1098, 1350, 1525, 1647, 1830, 2745, 3050, 3294, 4575, 5490, 8235, 9150, 13725, 16470, 27450, 41175

Step-4: Factors of 82364

List of positive integer factors of 82364 that divides 82350 without a remainder.

1, 2, 4, 59, 118, 236, 349, 698, 1396, 20591, 41182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82350 and 82364. The biggest common factor number is the GCF number.
So the greatest common factor 82350 and 82364 is 2.

Also check out the Least Common Multiple of 82350 and 82364